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Finding the Fourth Proportional to 356,750.20, 535,125.30 and 146,279.80

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Solution

The fourth proportional to 356,750.20, 535,125.30 and 146,279.80 is: 219,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,750.20 : 535,125.30 = 146,279.80 : x
  2. Step 2: Convert to fraction form
    356,750.20/535,125.30 = 146,279.80/x
  3. Step 3: Cross multiply
    356,750.20x = 535,125.30 × 146,279.80
  4. Step 4: Simplify right side
    356,750.20x = 78,278,021,858.94
  5. Step 5: Solve for x
    x = 78,278,021,858.94/356,750.20
  6. Step 6: Final answer
    x = 219,419.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.